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Finding the Third Proportional to 2,000,834 and 3,102,810

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Solution

The third proportional to 2,000,834 and 3,102,810 is: 4,811,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,834 : 3,102,810 = 3,102,810 : x
  2. Step 2: Convert to fraction form
    2,000,834/3,102,810 = 3,102,810/x
  3. Step 3: Cross multiply
    2,000,834x = 3,102,810 × 3,102,810
  4. Step 4: Simplify right side
    2,000,834x = 9,627,429,896,100
  5. Step 5: Solve for x
    x = 9,627,429,896,100/2,000,834
  6. Step 6: Final answer
    x = 4,811,708.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.